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Finding the Fourth Proportional to 13,927.92, 19,217.16 and 7,878.27

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Solution

The fourth proportional to 13,927.92, 19,217.16 and 7,878.27 is: 10,870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,927.92 : 19,217.16 = 7,878.27 : x
  2. Step 2: Convert to fraction form
    13,927.92/19,217.16 = 7,878.27/x
  3. Step 3: Cross multiply
    13,927.92x = 19,217.16 × 7,878.27
  4. Step 4: Simplify right side
    13,927.92x = 151,397,975.11
  5. Step 5: Solve for x
    x = 151,397,975.11/13,927.92
  6. Step 6: Final answer
    x = 10,870.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.